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comap×ܲÃÐòforward by sol garfunkelicm¾ºÈüÖ÷ϯÐòforward by chris arney´ÔÊé¼ò½éÇ°ÑÔi  mathematical modeling for mcm/icm 2013chapter 1  introductionchapter 2  general methodology  2.1  before the contest  2.2  reading the problem  2.3  literature search  2.4  creating models  2.5  finding solutions  2.6  stability and sensitivity  2.7  writing up the solution  exerciseschapter 3  the ultimate brownie pan  3.1  problem description  3.2  how to approach the problem    3.2.1  deciding what needs to be done    3.2.2  searching the liteiature    3.2.3  creating a model    3.2.4  finding solutions    3.2.5  stability testing  3.3  judging    3.3.1  judging criteria    3.3.2  outstanding winners  3.4  model 1: the best rounded rectangle for ultimate brownies    3.4.1  packing the pans in standard ovens    3.4.2  maximizing the even distribution of heat    3.4.3  optimizing the perimeters of pans  3.5  model 2: an outstanding brownie pan    3.5.1  analyzing a circular pan    3.5.2  examining twodimensional shape    3.5.3  finding the best shape  exeiciseschapter 4  water,water,everywhere  4.1  problem description  4.2  how to approach the problem    4.2.1  searching the literature    4.2.2  creating a model    4.2.3  finding solutions    4.2.4  stability test  4.3  judging    4.3.1  judging criteria    4.3.2  outstanding winners  4.4  model 1: a highly regarded water strategy    4.4.1  water supply and demand    4.4.2  modeling water transfer    4.4.3  water transfer and desalinization    4.4.4  including water conservation  4.5  model 2: an outstanding water strategy    4.5.1  water supply and demand    4.5.2  water distribution costs    4.5.3  modeling water transfer and desalinization    4.5.4  using the model to determine a strategy    4.5.5  the best strategies  4.6  model 3: meeting the demands of saudi arabia's water needs.    4.6.1  modeling desalinization    4.6.2  a water distribution strategy    4.6.3  treating waste water    4.6.4  comments  exerciseschapter 5  network modeling of earth's health ichapter 6  network modeling of earth's health ii¢¢  2013ÄêÃÀ¹ú´óѧÉúÊýѧ½¨Ä£¾ºÈü½âÌâÖ¸ÄϵÚ1Õ  ÒýÑÔµÚ2Õ  ³£¹æ½¨Ä£²½ÖèµÚ3Õ  *¼ÑÇÉ¿ËÁ¦µ°¸â¿¾Å̵Ú4Õ  Ë®£¬Ë®£¬ÎÞ´¦²»ÔÚµÚ5Õ  µØÇò½¡¿µÍøÂ罨ģiµÚ6Õ  µØÇò½¡¿µÍøÂçÄ£ÐÍiiÓ¢ÎIJ¿·ÖË÷ÒýÖÐÎIJ¿·ÖË÷Òý²Î¿¼ÎÄÏ×